Missing child's apps in the Family Activity Picker on the guardian's/parent's device

The Problem

The Family Activity Picker shows only the child's app categories on the guardian's/parent's device. The application names from the child's device are not showing on the guardian's/parent's device.

1. The authorization is done on the child's device via

try await AuthorizationCenter.shared.requestAuthorization(for: .child) 

1. Usage of the family activity picker on the guardian's/parent's device

struct ContentView: View {

    @State private var isPresented = true
    @StateObject private var familyControlsHelper = FamilyControlsHelper.shared
    var onClose: () -> Void

    var body: some View {
        ZStack {
            Color.black.opacity(0.1).ignoresSafeArea()
        }
        .familyActivityPicker(
            isPresented: $isPresented,
            selection: $familyControlsHelper.familyActivitySelection
        )
        .onChange(of: isPresented) { _ in
            if !isPresented {
                onClose()
            }
        }
    }
}

IMPORTANT

Both devices are real (not simulators), and the app has granted distribution Family Controls entitlement.

Question

Is this the expected behavior? Or the child's app should appear on the guardian's device?

Thanks.